Finding the Fourth Proportional to 498.72, 747.06 and 406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   498.72 : 747.06 = 406.50 : x
2. Step 2: Convert to fraction form
   498.72/747.06 = 406.50/x
3. Step 3: Cross multiply
   498.72x = 747.06 × 406.50
4. Step 4: Simplify right side
   498.72x = 303,679.89
5. Step 5: Solve for x
   x = 303,679.89/498.72
6. Step 6: Final answer
   x = 608.92